Finite geometry | Incidence geometry | Families of sets

Near polygon

In mathematics, a near polygon is an incidence geometry introduced by Ernest E. Shult and Arthur Yanushka in 1980. Shult and Yanushka showed the connection between the so-called tetrahedrally closed line-systems in Euclidean spaces and a class of point-line geometries which they called near polygons. These structures generalise the notion of generalized polygon as every generalized 2n-gon is a near 2n-gon of a particular kind. Near polygons were extensively studied and connection between them and dual polar spaces was shown in 1980s and early 1990s. Some sporadic simple groups, for example the Hall-Janko group and the Mathieu groups, act as automorphism groups of near polygons. (Wikipedia).

Near polygon
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Related pages

Sporadic group | Graph (discrete mathematics) | Generalized quadrangle | Partial linear space | Generalized polygon | Distance-regular graph | Symmetric group | Mathieu group | Incidence structure | Finite geometry | Incidence geometry | Bipartite graph | Mathematics | Polar space | Binary Golay code | Complete graph | Partition of a set | Hallโ€“Janko graph | Association scheme | Mathieu group M24 | Collinearity | Conjugacy class